633 lines
29 KiB
Plaintext
633 lines
29 KiB
Plaintext
Air (dry) !Short name
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AIR-N2ARO2 !CAS number
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nitrogen + oxygen + argon (0.7812/0.2096/0.0092) !Full name
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N2+Ar+O2 !Chemical formula
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R-729 !Synonym
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28.96546 !Molar mass [g/mol]
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59.75 !Triple point temperature [K]
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78.903 !Normal boiling point [K]
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132.5306 !Critical temperature [K]
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3786.0 !Critical pressure [kPa]
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11.8308 !Critical density [mol/L]
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0.0335 !Acentric factor (not a true acentric factor; calculated as a mole fraction average of the pure components)
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0.0 !Dipole moment [Debye]
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NBP !Default reference state
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10.0 !Version number
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???? !UN Number :UN:
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cryogen !Family :Family:
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0.0 !Heating value (upper) at 25 C [kJ/mol] (ISO 6976:2016) :Heat:
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???? !IUPAC Int. Chemical Identifier :InChi:
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???? !InChi Key :InChiKey:
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a7821920 !Hash number from InChI Key :Hash:
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! compiled by E.W. Lemmon, NIST Physical and Chemical Properties Division, Boulder, Colorado
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! 11-13-98 EWL, original version
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! 11-18-98 EWL, add 1992 equation of state by Jacobsen et al.
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! 07-10-00 EWL, add Lemmon and Jacobsen transport equations
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! 06-10-03 EWL, finalize transport equations
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! 02-18-10 EWL, change molar mass from 28.9586 to 28.96546 to match BIPM value in Picard et al., Metrologia (2008), and change name to not show composition
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! 03-06-18 EWL, add sublimation line
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________________________________________________________________________________
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#EOS !---Equation of state---
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FEQ !Helmholtz equation of state for air of Lemmon et al. (2000).
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:DOI: 10.1063/1.1285884
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Lemmon, E.W., Jacobsen, R.T, Penoncello, S.G., and Friend, D.G.,
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? "Thermodynamic Properties of Air and Mixtures of Nitrogen, Argon, and
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? Oxygen from 60 to 2000 K at Pressures to 2000 MPa,"
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? J. Phys. Chem. Ref. Data, 29(3):331-385, 2000. doi: 10.1063/1.1285884
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?
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?In the range from the solidification point to 873 K at pressures to 70
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? MPa, the estimated uncertainty of density values calculated with the
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? equation of state is 0.1%. The estimated uncertainty of calculated
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? speed of sound values is 0.2% and that for calculated heat capacities is
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? 1%. At temperatures above 873 K and 70 MPa, the estimated uncertainty
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? of calculated density values is 0.5% increasing to 1.0% at 2000 K and
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? 2000 MPa.
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?
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!```````````````````````````````````````````````````````````````````````````````
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59.75 !Lower temperature limit [K]
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2000.0 !Upper temperature limit [K]
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2000000.0 !Upper pressure limit [kPa]
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53.73 !Maximum density [mol/L]
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CPP !Pointer to Cp0 model
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28.96546 !Molar mass [g/mol]
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59.75 !Triple point temperature [K]
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5.2646 !Pressure at triple point [kPa]
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33.067 !Density at triple point [mol/L]
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78.9030 !Normal boiling point temperature [K]
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0.0335 !Acentric factor
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132.6312 3785.02 10.4477 !Tc [K], pc [kPa], rhoc [mol/L]
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132.6312 10.4477 !Reducing parameters [K, mol/L]
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8.31451 !Gas constant [J/mol-K]
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19 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
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0.118160747229 0.0 1. 0 !a(i),t(i),d(i),l(i)
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0.713116392079 0.33 1. 0
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-1.61824192067 1.01 1. 0
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0.0714140178971 0.0 2. 0
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-0.0865421396646 0.0 3. 0
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0.134211176704 0.15 3. 0
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0.0112626704218 0.0 4. 0
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-0.0420533228842 0.2 4. 0
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0.0349008431982 0.35 4. 0
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0.000164957183186 1.35 6. 0
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-0.101365037912 1.6 1. 1
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-0.173813690970 0.8 3. 1
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-0.0472103183731 0.95 5. 1
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-0.0122523554253 1.25 6. 1
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-0.146629609713 3.6 1. 2
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-0.0316055879821 6.0 3. 2
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0.000233594806142 3.25 11. 2
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0.0148287891978 3.5 1. 3
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-0.00938782884667 15.0 3. 3
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#AUX !---Auxiliary function for Cp0
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CPP !Ideal gas heat capacity function for air of Lemmon et al. (2000).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Lemmon, E.W., Jacobsen, R.T, Penoncello, S.G., and Friend, D.G.
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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1.0 8.31451 !Reducing parameters for T, Cp0
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5 2 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
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3.490888 0.0
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0.23955256e-5 1.0
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0.71721112e-8 2.0
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-0.31154131e-12 3.0
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0.22380669 -1.5
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0.79130951 3364.011
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0.21223677 2242.45
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#AUX !---Auxiliary function for PH0
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PH0 !Ideal gas Helmholtz form for air of Lemmon et al. (2000).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Lemmon, E.W., Jacobsen, R.T, Penoncello, S.G., and Friend, D.G.
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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1 6 2 0 0 0 0 0 !Nterms: ai*log(tau**ti); ai*tau**ti; ai*log(1-exp(bi*tau)); cosh; sinh
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2.490888 1.0 !ai, ti for [ai*log(tau**ti)] terms
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-3.4666226577 0.0 !aj, ti for [ai*tau**ti] terms
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3.3037934171 1.0
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-0.0001588607 -1.0
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-0.0000210275 -2.0
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0.0000000606 -3.0
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-0.0001953634 1.5
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0.7913095100 -25.3636474676 !aj, ti for [ai*log(1-exp(ti*tau)] terms
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0.2122367700 -16.9074094180
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--------------------------------------------------------------------------------
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@EOS !---Equation of state---
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FE1 !Helmholtz equation of state for air of Jacobsen et al. (1992).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Jacobsen, R.T, Penoncello, S.G., Beyerlein, S.W., Clarke, W.P., and Lemmon, E.W.,
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? "A Thermodynamic Property Formulation for Air,"
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? Fluid Phase Equilibria, 79(25):113-124, 1992. doi: 10.1016/0378-3812(92)85124-Q
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?
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!```````````````````````````````````````````````````````````````````````````````
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59.75 !Lower temperature limit [K]
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870.0 !Upper temperature limit [K]
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70000.0 !Upper pressure limit [kPa]
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34.628 !Maximum density [mol/L]
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CP1 !Pointer to Cp0 model
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28.958538 !Molar mass [g/mol]
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59.75 !Triple point temperature [K]
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6.2545 !Pressure at triple point [kPa]
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33.073 !Density at triple point [mol/L]
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78.685 !Normal boiling point temperature [K]
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0.0335 !Acentric factor
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132.61738 3785.02 10.4477 !Tc [K], pc [kPa], rhoc [mol/L]
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132.61738 10.4477 !Reducing parameters [K, mol/L]
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8.31451 !Gas constant [J/mol-K]
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31 4 0 0 0 0 0 0 0 0 0 0 !# terms and # coefs/term for normal terms, Gaussian terms, and Gao terms
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0.206604930965 0.0 1. 0.
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0.367099749382 0.25 1. 0.
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-0.943192015369 1.0 1. 0.
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0.00382519513142 3.5 1. 0.
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-0.0865385542309 0.0 2. 0.
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0.323019987452 0.25 2. 0.
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0.00608695449299 0.5 4. 0.
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0.000128352106296 2.0 6. 0.
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-0.400058181940e-5 3.0 7. 0.
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-0.544697915817 1.5 1. 1.
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-0.526471065792 1.0 2. 1.
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-0.608529300347 1.0 3. 1.
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-0.124174277875 1.0 5. 1.
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-0.00595578533411 2.0 6. 1.
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-0.157523548353 3.0 1. 2.
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-0.00346463251040 8.0 1. 2.
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0.00837023084176 0.5 2. 2.
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-0.0316701981142 5.5 2. 2.
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-0.00721856676857 9.0 3. 2.
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0.000276838040645 3.0 11. 2.
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0.160877459321e-4 6.0 11. 2.
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0.0409235806738 3.0 1. 3.
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0.000652776125216 9.0 1. 3.
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-0.00952903961290 2.0 2. 3.
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-0.0100337820004 13.0 3. 3.
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0.00701111041628 11.0 7. 3.
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-0.00472754336912 11.0 8. 3.
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0.00399257638569 8.0 2. 4.
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0.00968453675994 22.0 4. 4.
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-0.0106826283630 23.0 5. 4.
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-0.00489679885832 11.0 2. 5.
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@AUX !---Auxiliary function for Cp0
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CP1 !Ideal gas heat capacity function for air of Jacobsen et al. (1992).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Jacobsen, R.T, Penoncello, S.G., Beyerlein, S.W., Clarke, W.P., and Lemmon, E.W.
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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1.0 8.31451 !reducing parameters for T, Cp0
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8 2 0 0 0 0 0 !Nterms: polynomial, exponential, cosh, sinh
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-653.92681 -3.0
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29.618973 -2.0
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0.22380669 -1.5
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-0.47007760 -1.0
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3.4941563 0.0
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-0.68351536e-5 1.0
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0.15136141e-7 2.0
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-0.20027652e-11 3.0
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0.21223677 2242.45
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0.78724442 3353.40610
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^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
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#ETA !---Viscosity---
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VS1 !Pure fluid viscosity model for air of Lemmon and Jacobsen (2004).
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:DOI: 10.1023/B:IJOT.0000022327.04529.f3
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Lemmon, E.W. and Jacobsen, R.T,
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? "Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air,"
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? Int. J. Thermophys., 25(1):21-69, 2004. doi: 10.1023/B:IJOT.0000022327.04529.f3
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?
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?The uncertainty is 1% in the dilute gas. The uncertainty is around 2%
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? between 270 and 300 K, and increases to 5% outside of this region.
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? There are very few measurements between 130 and 270 K for air to
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? validate this claim, and the uncertainties may be even higher in this
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? supercritical region.
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?
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!```````````````````````````````````````````````````````````````````````````````
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59.75 !Lower temperature limit [K]
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2000.0 !Upper temperature limit [K]
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2000000.0 !Upper pressure limit [kPa]
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53.73 !Maximum density [mol/L]
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1 !Number of terms associated with dilute-gas function
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CI1 !Pointer to reduced effective collision cross-section model
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0.36 !Lennard-Jones coefficient sigma [nm]
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103.3 !Lennard-Jones coefficient epsilon/kappa [K]
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1.0 1.0 !Reducing parameters for T, eta
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0.14365863 0.5 !Chapman-Enskog term
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0 !Number of terms for initial density dependence
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0 5 0 0 0 0 !# resid terms: close-packed density; simple poly; numerator of rational poly; denominator of rat. poly; numerator of exponential; denominator of exponential
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132.6312 10.4477 1.0 !Reducing parameters for T, rho, eta
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10.72 -0.2 1. 0. 0 !Simple polynomial terms
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1.122 -0.05 4. 0. 0
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0.002019 -2.4 9. 0. 0
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-8.876 -0.6 1. 0. 1
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-0.02916 -3.6 8. 0. 1
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NUL !Pointer to critical enhancement auxiliary function (none used)
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#AUX !---Auxiliary function for the collision integral
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CI1 !Collision integral model for nitrogen of Lemmon and Jacobsen (2004).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Lemmon, E.W. and Jacobsen, R.T
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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5 !Number of terms
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0.431 0 !Coefficient, power of Tstar
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-0.4623 1
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0.08406 2
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0.005341 3
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-0.00331 4
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================================================================================
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#TCX !---Thermal conductivity---
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TC1 !Pure fluid thermal conductivity model for air of Lemmon and Jacobsen (2004).
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:DOI: 10.1023/B:IJOT.0000022327.04529.f3
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Lemmon, E.W. and Jacobsen, R.T,
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? "Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air,"
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? Int. J. Thermophys., 25:21-69, 2004.
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?
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?The uncertainty for the dilute gas is 2% with increasing uncertainties
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? near the triple points. The uncertainties range from 3% between 140 and
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? 300 K to 5% at the triple point and at high temperatures. The
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? uncertainties above 100 MPa are not known due to a lack of experimental
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? data.
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?
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!```````````````````````````````````````````````````````````````````````````````
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59.75 !Lower temperature limit [K]
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2000.0 !Upper temperature limit [K]
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2000000.0 !Upper pressure limit [kPa]
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53.73 !Maximum density [mol/L]
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3 0 !# terms for dilute gas function: numerator, denominator
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132.6312 0.001 !Reducing parameters for T, tcx
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1.308 -97.0 !Coefficient, power in T
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1.405 1.1
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-1.036 0.3
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6 0 !# terms for background gas function: numerator, denominator
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132.6312 10.4477 0.001 !Reducing parameters for T, rho, tcx
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8.743 -0.1 1. 0. !Coefficient, powers of T, rho, exp(rho)
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14.76 0.0 2. 0.
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-16.62 -0.5 3. 2.
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3.793 -2.7 7. 2.
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-6.142 -0.3 7. 2.
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-0.3778 -1.3 11. 2.
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TK3 !Pointer to critical enhancement auxiliary function
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#AUX !---Auxiliary function for the thermal conductivity critical enhancement
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TK3 !Simplified thermal conductivity critical enhancement for air of Lemmon and Jacobsen (2004).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Lemmon, E.W. and Jacobsen, R.T
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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9 0 0 0 !# terms: terms, spare, spare, spare
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1.0 1.0 1.0 !Reducing parameters for T, rho, tcx [mW/(m-K)]
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0.63 !Gnu (universal exponent)
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1.2415 !Gamma (universal exponent)
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1.01 !R0 (universal amplitude)
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0.065 !Z (universal exponent--not used for t.c., only viscosity)
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1.0 !C (constant in viscosity eqn = 1/[2 - (alpha + gamma)/(2*nu)], but often set to 1)
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0.11e-9 !Xi0 (amplitude) [m]
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0.055 !Gam0 (amplitude) [-]
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0.31e-9 !Qd_inverse (modified effective cutoff parameter) [m]
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265.262 !Tref (reference temperature) [K]
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++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
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@TRN !---ECS Transport---
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ECS !Extended Corresponding States model (R134a reference); predictive mode.
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Klein, S.A., McLinden, M.O., and Laesecke, A.; Int. J. Refrigeration, 20:208-217, 1997; "An improved extended corresponding states method for estimation of viscosity of pure refrigerants and mixtures"
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?McLinden, M.O., Klein, S.A., and Perkins, R.A.; Int. J. Refrigeration, 23:43-63, 2000; "An extended corresponding states model for the thermal conductivity of refrigerants and refrigerant mixtures"
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?
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?The Lennard-Jones parameters were taken from Reid, R.C., Prausnitz, J.M., and Poling, B.E., "The Properties of Gases and Liquids," 4th edition, New York, McGraw-Hill Book Company, 1987.
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?
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!```````````````````````````````````````````````````````````````````````````````
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59.75 !Lower temperature limit [K]
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2000.0 !Upper temperature limit [K]
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2000000.0 !Upper pressure limit [kPa]
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53.73 !Maximum density [mol/L]
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FEQ R134A.FLD
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VS1 !Model for reference fluid viscosity
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TC1 !Model for reference fluid thermal conductivity
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NUL !Large molecule identifier
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1 !Lennard-Jones flag (0 or 1) (0 => use estimates)
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0.3711 !Lennard-Jones coefficient sigma [nm]
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78.6 !Lennard-Jones coefficient epsilon/kappa [K]
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1 0 0 !Number of terms in f_int term in Eucken correlation, spare1, spare2
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0.00132 0. 0. 0. !Coefficient, power of T, spare1, spare2
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1 0 0 !Number of terms in psi (visc shape factor): poly,spare1,spare2
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1.0 0. 0. 0. !Coefficient, power of Tr, power of Dr, spare
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1 0 0 !Number of terms in chi (t.c. shape factor): poly,spare1,spare2
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1.0 0. 0. 0. !Coefficient, power of Tr, power of Dr, spare
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NUL !Pointer to critical enhancement auxiliary function
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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#STN !---Surface tension---
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ST1 !Surface tension model for air
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?
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?```````````````````````````````````````````````````````````````````````````````
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?
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!```````````````````````````````````````````````````````````````````````````````
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0. !
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10000. !
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0. !
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0. !
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1 !Number of terms in surface tension model
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132.6312 !Critical temperature used in fit (dummy)
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0.03046 1.28 !Sigma0 and n
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#MLT !---Melting line---
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ML1 !Melting line model for air of Lemmon et al. (2000).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Lemmon, E.W., Jacobsen, R.T, Penoncello, S.G., and Friend, D.G.,
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? "Thermodynamic Properties of Air and Mixtures of Nitrogen, Argon, and
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? Oxygen from 60 to 2000 K at Pressures to 2000 MPa,"
|
|
? J. Phys. Chem. Ref. Data, 29(3):331-385, 2000. doi: 10.1063/1.1285884
|
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?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
59.75 !Lower temperature limit [K]
|
|
2000.0 !Upper temperature limit [K]
|
|
0. !
|
|
0. !
|
|
59.75 5.265 !Reducing temperature and pressure
|
|
3 0 0 0 0 0 !Number of terms in melting line equation
|
|
1. 0.0 !Coefficients and exponents
|
|
35493.5 1.78963
|
|
-35493.5 0.0
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|
|
|
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|
#SBL !---Sublimation line---
|
|
SB3 !Sublimation line model for air of Lemmon (2018).
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?
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?```````````````````````````````````````````````````````````````````````````````
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?Approximation for the sublimation line of air, where the nitrogen sublimation
|
|
?line was transformed by substituting its vapor triple point values with the
|
|
?saturated vapor pressure of air at 59.75 K.
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?
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!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
59.75 !Upper temperature limit [K]
|
|
0. !
|
|
0. !
|
|
59.75 2.43 !Reducing temperature and pressure
|
|
0 1 0 0 0 0 !Number of terms in sublimation line equation
|
|
-13.088692 1. !Coefficients and exponents
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|
|
|
|
|
#PS !---Vapor pressure---
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PS5 !Vapor pressure equation for air of Lemmon et al. (2000).
|
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?
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|
?```````````````````````````````````````````````````````````````````````````````
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|
?Functional Form: P=Pc*EXP[SUM(Ni*Theta^ti)*Tc/T] where Theta=1-T/Tc, Tc and Pc
|
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? are the reducing parameters below, which are followed by rows containing Ni and ti.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
132.6312 3785.02 !Reducing parameters
|
|
4 0 0 0 0 0 !Number of terms in equation
|
|
-0.1567266 0.5 !Coefficients and exponents
|
|
-5.539635 1.0
|
|
0.7567212 2.5
|
|
-3.514322 4.0
|
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|
|
|
|
#PL !---Liquid pressure---
|
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PL5 !Liquid pressure equation for air of Lemmon et al. (2000)
|
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?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Functional Form: P=Pc*EXP[SUM(Ni*Theta^ti)*Tc/T] where Theta=1-T/Tc, Tc and Pc
|
|
? are the reducing parameters below, which are followed by rows containing Ni and ti.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
132.6312 3785.02 !Reducing parameters
|
|
6 0 0 0 0 0 !Number of terms in equation
|
|
0.2260724 0.5 !Coefficients and exponents
|
|
-7.080499 1.0
|
|
5.700283 1.5
|
|
-12.44017 2.0
|
|
17.81926 2.5
|
|
-10.81364 3.0
|
|
|
|
|
|
#DL !---Liquid density---
|
|
DL1 !Liquid density equation for air of Lemmon et al. (2000)
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Functional Form: D=Dc*EXP[SUM(Ni*Theta^(ti/3))] where Theta=1-T/Tc, Tc and Dc are
|
|
? the reducing parameters below, which are followed by rows containing Ni and ti.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
132.6312 10.4477 !Reducing parameters
|
|
6 0 0 0 0 0 !Number of terms in equation
|
|
9.72015 0.55 !Coefficients and exponents
|
|
-43.4531 1.0
|
|
103.196 1.4
|
|
-145.477 1.9
|
|
112.618 2.4
|
|
-34.3921 3.0
|
|
|
|
|
|
#DV !---Vapor density---
|
|
DV3 !Vapor density equation for air of Lemmon et al. (2000)
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Functional Form: D=Dc*EXP[SUM(Ni*Theta^(ti/3))*Tc/T] where Theta=1-T/Tc, Tc and Dc are
|
|
? the reducing parameters below, which are followed by rows containing Ni and ti.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
132.6312 10.4477 !Reducing parameters
|
|
4 0 0 0 0 0 !Number of terms in equation
|
|
-2.0466 0.41 !Coefficients and exponents
|
|
-4.7520 1.0
|
|
-13.259 2.8
|
|
-47.652 6.5
|
|
|
|
|
|
@END
|
|
c 1 2 3 4 5 6 7 8
|
|
c2345678901234567890123456789012345678901234567890123456789012345678901234567890
|
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|
|
|
|
@TCX !thermal conductivity model specification
|
|
TC1 pure fluid thermal conductivity model of Lemmon and Jacobsen (2000).
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Lemmon, E.W. and Jacobsen, R.T,
|
|
? preliminary equation, 2000.
|
|
?
|
|
?The uncertainty in thermal conductivity is 2%.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
59.75 !lower temperature limit [K]
|
|
2000.0 !upper temperature limit [K]
|
|
2000000.0 !upper pressure limit [kPa]
|
|
53.73 !maximum density [mol/L]
|
|
2 0 !# terms for dilute gas function: numerator, denominator
|
|
132.6312 0.001 !reducing parameters for T, tcx
|
|
1.1 0.0 !coeff, power in T
|
|
0. -96.0
|
|
7 0 !# terms for background gas function: numerator, denominator
|
|
132.6312 10.4477 0.001 !reducing parameters for T, rho, tcx
|
|
9.759 0.0 1.0 0.0 !coeff, powers of t, rho, exp(rho)
|
|
22.59 0.0 2.0 0.0
|
|
-7.995 -4.0 1.0 1.0
|
|
-57.14 -0.15 3.0 1.0
|
|
13.24 -10.5 2.0 2.0
|
|
14.56 -0.5 4.0 2.0
|
|
2.577 -3.0 6.0 2.0
|
|
TK3 !pointer to critical enhancement auxiliary function
|
|
|
|
|
|
@AUX !thermal conductivity critical enhancement model
|
|
TK3 thermal conductivity critical enhancement of Lemmon and Jacobsen (2000).
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Lemmon, E.W. and Jacobsen, R.T,
|
|
? preliminary equation, 2000.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
9 0 0 0 !# terms: terms, spare, spare, spare
|
|
1.0 1.0 1.0 !reducing parameters for T, rho, tcx [mW/(m-K)]
|
|
0.63 !gnu (universal exponent)
|
|
1.2415 !gamma (universal exponent)
|
|
1.01 !R0 (universal amplitude)
|
|
0.065 !z (universal exponent--not used for t.c., only viscosity)
|
|
1.0 !c (constant in viscosity eqn = 1/[2 - (alpha + gamma)/(2*nu)], but often set to 1)
|
|
0.165e-9 !xi0 (amplitude) [m]
|
|
0.055 !gam0 (amplitude) [-]
|
|
0.386e-9 !qd_inverse (modified effective cutoff parameter) [m]
|
|
265.2624 !tref (reference temperature) [K]
|
|
|
|
|
|
@ETA !viscosity model specification
|
|
VS1 pure fluid viscosity model of Lemmon and Jacobsen (2000).
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Lemmon, E.W. and Jacobsen, R.T,
|
|
? preliminary equation, 2000.
|
|
?
|
|
?The uncertainty in viscosity is 2%, except in the dilute gas, where the
|
|
? uncertainty is 0.5%.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
59.75 !lower temperature limit [K]
|
|
2000.0 !upper temperature limit [K]
|
|
2000000.0 !upper pressure limit [kPa]
|
|
53.73 !maximum density [mol/L]
|
|
1 !number of terms associated with dilute-gas function
|
|
CI1 !pointer to reduced effective collision cross-section model
|
|
0.3711 !Lennard-Jones coefficient sigma [nm]
|
|
78.6 !Lennard-Jones coefficient epsilon/kappa [K]
|
|
1.0 1.0 !reducing parameters for T, eta
|
|
0.1436597 0.5 !Chapman-Enskog term
|
|
0 !number of terms for initial density dependence
|
|
0 5 0 0 0 0 !# resid terms: close-packed density; simple poly; numerator of rational poly; denominator of rat. poly; numerator of exponential; denominator of exponential
|
|
132.6312 10.4477 1. !reducing parameters for T, rho, eta
|
|
3.699 0.0 1. 0. 0 !simple polynomial terms
|
|
2.304 0.0 2. 0. 0
|
|
2.376 -0.1 3. 0. 0
|
|
0.0006244 -1.7 10. 0. 0
|
|
0.01616 0.0 9. 0. 1
|
|
NUL !pointer to critical enhancement auxiliary function (none used)
|
|
|
|
|
|
@AUX !collision integral specification
|
|
CI1 collision integral model of Lemmon and Jacobsen (2000).
|
|
?
|
|
?```````````````````````````````````````````````````````````````````````````````
|
|
?Lemmon, E.W. and Jacobsen, R.T,
|
|
? preliminary equation, 2000.
|
|
?
|
|
!```````````````````````````````````````````````````````````````````````````````
|
|
0. !
|
|
10000. !
|
|
0. !
|
|
0. !
|
|
5 !number of terms
|
|
0.5136 0 !coeff, power of Tstar
|
|
-0.5218 1
|
|
0.08852 2
|
|
0.003445 3
|
|
-0.002289 4
|